121215120 has 80 divisors (see below), whose sum is σ = 404682432. Its totient is φ = 29836800.

The previous prime is 121215119. The next prime is 121215131. The reversal of 121215120 is 21512121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121215120² = 29386210633228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121215120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16306 + ... + 22545.

Almost surely, 2^121215120 is an apocalyptic number.

121215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121215120 is an abundant number, since it is smaller than the sum of its proper divisors (283467312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121215120 is a wasteful number, since it uses less digits than its factorization.

121215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38880 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 121215120 is about 11009.7738396390. The cubic root of 121215120 is about 494.9016843819.

Adding to 121215120 its reverse (21512121), we get a palindrome (142727241).

The spelling of 121215120 in words is "one hundred twenty-one million, two hundred fifteen thousand, one hundred twenty".